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Simplifying 238.88 + 8.88x = 302.68 + 12.50(x + -8) Reorder the terms: 238.88 + 8.88x = 302.68 + 12.50(-8 + x) 238.88 + 8.88x = 302.68 + (-8 * 12.50 + x * 12.50) 238.88 + 8.88x = 302.68 + (-100 + 12.50x) Combine like terms: 302.68 + -100 = 202.68 238.88 + 8.88x = 202.68 + 12.50x Solving 238.88 + 8.88x = 202.68 + 12.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.50x' to each side of the equation. 238.88 + 8.88x + -12.50x = 202.68 + 12.50x + -12.50x Combine like terms: 8.88x + -12.50x = -3.62x 238.88 + -3.62x = 202.68 + 12.50x + -12.50x Combine like terms: 12.50x + -12.50x = 0.00 238.88 + -3.62x = 202.68 + 0.00 238.88 + -3.62x = 202.68 Add '-238.88' to each side of the equation. 238.88 + -238.88 + -3.62x = 202.68 + -238.88 Combine like terms: 238.88 + -238.88 = 0.00 0.00 + -3.62x = 202.68 + -238.88 -3.62x = 202.68 + -238.88 Combine like terms: 202.68 + -238.88 = -36.2 -3.62x = -36.2 Divide each side by '-3.62'. x = 10 Simplifying x = 10
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